WAEC GCE Mathematics Past Questions and Answers PDF Download – 2024 Updated Version

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Are you about to sit for the WAEC GCE Mathematics exam and searching for relevant materials such as past questions and answers to help increase your chances of passing? This is your navigation to the link to download WAEC GCE Mathematics past questions and answers in PDF format. In this regard, these questions are important in that they prepare the candidates on the contraption. Aids in revising questions that are commonly asked and provides one with assurance before the actual examination.

In this article, we have included a link for free and available for download, WAEC GCE Mathematics past questions and answers that you can use in your revision. So, Let us begin!

Why You Need WAEC GCE Mathematics Past Questions

Success in WAEC GCE Mathematics examination does not come on a silver platter; it involves rigorous preparation and the best preparation is through the use of past papers. Here is why:

Familiarization with the Examination: Past questions orient you and leave little doubts on the structure of the WAEC GCE Mathematics examination that one knows what to expect.

Questions that Come Again and Again: Most of the questions in WAEC GCE Mathematics are such that they come back or are of the same kind. Practicing these prepares you for the eventuality that there is nothing new.

Enhance the Skills of Solving Mathematical Problems: Solving past papers enables one to hone their skills of solving mathematical questions and also aids in the management of time during the examination.

Increase Assuredness: Practicing past papers helps one to have a large and deep insight of the pattern of the examination which in turn helps one to be more ready for the examination.

WAEC GCE Mathematics past questions and answers

Question 1:

Question 1: Problem:
The third and seventh terms of an Arithmetic Progression (A.P.) are \(3 + 4\sqrt{3}\) and \(3 + 12\sqrt{3}\) respectively. Find the fifth term of the A.P.

Step-by-Step Solution:

1. Understand the Arithmetic Progression (A.P.) formula: In an A.P., the \(n\)-th term is given by: \[ T_n = a + (n – 1)d \] Where: – \(T_n\) is the \(n\)-th term, – \(a\) is the first term, – \(d\) is the common difference, – \(n\) is the position of the term.
2. Use the given information to set up equations: We know the third term and the seventh term of the A.P. – Third term: \(T_3 = 3 + 4\sqrt{3}\) \[ T_3 = a + (3 – 1)d = a + 2d \] So, \[ a + 2d = 3 + 4\sqrt{3} \quad \text{(Equation 1)} \] – Seventh term: \(T_7 = 3 + 12\sqrt{3}\) \[ T_7 = a + (7 – 1)d = a + 6d \] So, \[ a + 6d = 3 + 12\sqrt{3} \quad \text{(Equation 2)} \] 3. Solve the system of equations to find \(a\) and \(d\): Subtract Equation 1 from Equation 2: \[ (a + 6d) – (a + 2d) = (3 + 12\sqrt{3}) – (3 + 4\sqrt{3}) \] Simplifying: \[ a + 6d – a – 2d = 3 + 12\sqrt{3} – 3 – 4\sqrt{3} \] \[ 4d = 8\sqrt{3} \] \[ d = 2\sqrt{3} \] 4. Substitute \(d = 2\sqrt{3}\) into one of the equations to find \(a\): Substitute into Equation 1: \[ a + 2(2\sqrt{3}) = 3 + 4\sqrt{3} \] \[ a + 4\sqrt{3} = 3 + 4\sqrt{3} \] Now subtract \(4\sqrt{3}\) from both sides: \[ a = 3 \] So, the first term \(a = 3\) and the common difference \(d = 2\sqrt{3}\). 5. Find the fifth term of the A.P.: Now, using the formula \(T_n = a + (n – 1)d\), let’s find the fifth term \(T_5\): \[ T_5 = a + (5 – 1)d = a + 4d \] Substitute \(a = 3\) and \(d = 2\sqrt{3}\): \[ T_5 = 3 + 4(2\sqrt{3}) = 3 + 8\sqrt{3} \] Final Answer for Question 1: The fifth term of the A.P. is \(3 + 8\sqrt{3}\).

Question 2:

Question 2: Problem:
A woman sells \(\frac{7}{10}\) of her stock of cutlery at a profit of 30%. The remaining stock is sold at a loss of 8%. Find the percentage profit on the sale of the whole stock.

Step-by-Step Solution:**

1. Let’s assume the total value of the stock is \(100\) units (for simplicity):
– The woman sells \(\frac{7}{10}\) of the stock, which means she sells: \[ \frac{7}{10} \times 100 = 70 \text{ units} \] – The remaining stock is: \[ 100 – 70 = 30 \text{ units} \] 2. Calculate the profit from the \(70\) units sold: The profit is 30%, so the selling price of the \(70\) units will be: \[ 70 + 30\% \text{ of } 70 = 70 + \left( \frac{30}{100} \times 70 \right) \] \[ = 70 + 21 = 91 \text{ units} \] 3. Calculate the loss from the \(30\) units sold: The loss is 8%, so the selling price of the \(30\) units will be: \[ 30 – 8\% \text{ of } 30 = 30 – \left( \frac{8}{100} \times 30 \right) \] \[ = 30 – 2.4 = 27.6 \text{ units} \] 4. Calculate the total amount made from selling the whole stock: Total selling price = Selling price of \(70\) units + Selling price of \(30\) units: \[ 91 + 27.6 = 118.6 \text{ units} \] 5. Calculate the percentage profit: The total cost of the stock was 100 units. The total selling price is 118.6 units. So the profit made is: \[ \text{Profit} = 118.6 – 100 = 18.6 \text{ units} \] Now, calculate the percentage profit: \[ \text{Percentage profit} = \left( \frac{18.6}{100} \right) \times 100 = 18.6\% \] Final Answer for Question 2: The percentage profit on the sale of the whole stock is \(18.6\%\).

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Candidates who sit for the WAEC GCE Mathematics examination are taken through two papers in mathematics.

Paper 1 (Objective) – Here, a candidate is expected to fill in answers in multiple-choice objective questions based on various topics in mathematics.

Paper 2 (Theory & Essay) – This section comprises short as well as long structured questions in which the candidate is put on test based on their applied mathematical abilities and logical thinking.

As you keep practicing these past questions, you will be exposed to the objective as well as theory questions. Topics addressed included–

Algebra,

Geometry,

Statistics,

Probability,

Trigonometry and,

Calculus.

Effective usage of WAEC GCE Mathematics Past Questions

As with everything in life, there are proper and incorrect ways of approaching past questions practice. To attain the maximum utility provided by past questions abdominal exercises, observe the following:

Study Each Topic Thoroughly: Go through each question in a number of the level in order to make sure that all ) of the syllabus has been in .

Simulate Exam Conditions: Set a timer and try answering the questions within the allocated time. This is meant to aid you in managing yourself within the time frame in the real examination.

Check Your Answers: After attempting the questions, there is always look at the given answers and clear the way of working of each who problems.

Focus on Weak Areas: Determine which areas of the subject are troublesome to you, and practice more on those areas.

Revise Regularly: Try to revise the past questions so that the concepts do not fade away in your mind.

FAQs on WAEC GCE Mathematics Past Questions

1. How often are the WAEC GCE Mathematics questions set reused?

Past or practice questions are very useful in preparing for the exams as the same or related questions may be posed in a different form.

2. Is this PDF available for free?

Indeed, all the WAEC GCE Mathematics past questions and their accompanying answers are very low of cost(#1,000) to download contact us on whatsapp:09061221656 to download.

3. Can past questions assure victory in the examination?

The practice of past questions enhances the performance rate of the candidates sitting for the exam.

4. Is it possible to achieve success in the examination based on the previous questions only?
   Inasmuch as practicing past questions increases the odds of your success, one must also appreciate the need to read the textbook and comprehend the concepts that are covered.

ALSO READ: WAEC GCE Past Questions and Answers PDF Download – All Subjects

Final Remarks

Revising WAEC GCE Mathematics past questions and answers papers that were set in the previous years has proven to be very helpful to one’s performance in the exam. Such materials will coalesce into a deeper appreciation of the structure, time management and readiness towards the outcome at hand. Remember to grab your copy as well and get to practice right away!

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